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146152060 = 225174091051
BaseRepresentation
bin10001011011000…
…01101001111100
3101012000021221021
420231201221330
5244403331220
622300313524
73423162205
oct1055415174
9335007837
10146152060
117555422a
1240b428a4
1324382612
14155a65ac
15cc6e4aa
hex8b61a7c

146152060 has 48 divisors (see below), whose sum is σ = 326077920. Its totient is φ = 54835200.

The previous prime is 146152037. The next prime is 146152079. The reversal of 146152060 is 60251641.

146152060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138535 + ... + 139585.

It is an arithmetic number, because the mean of its divisors is an integer number (6793290).

Almost surely, 2146152060 is an apocalyptic number.

146152060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146152060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163038960).

146152060 is an abundant number, since it is smaller than the sum of its proper divisors (179925860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146152060 is a wasteful number, since it uses less digits than its factorization.

146152060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 146152060 is about 12089.3366236531. The cubic root of 146152060 is about 526.7464859707.

The spelling of 146152060 in words is "one hundred forty-six million, one hundred fifty-two thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 409 818 1051 1636 2045 2102 4090 4204 5255 6953 8180 10510 13906 17867 21020 27812 34765 35734 69530 71468 89335 139060 178670 357340 429859 859718 1719436 2149295 4298590 7307603 8597180 14615206 29230412 36538015 73076030 146152060